Answer: x=13, Base=105, Height=36, Hypotenuse=111.
Step-by-step explanation:
Perimeter=Bace+Height+Hypotenuse
252=5*(x+8)+2*(x+5)+3*(2x+11)
Expand the brackets on the right side of the equation:
252=5x+40+2x+10+6x+33
252=13x+83
252-83=13+83-83
169=13x
Divide both sides of the equation by 13:
13=x.
Hence:
Base=5*(13+8)
Base=5*21
Base=105.
Height=2*(13+5)
Height=2*18
Height=36.
Hypotenuse=3*(2*13+11)
Hypotenuse=3*(26+11)
Hypotenuse=3*37
Hypotenuse=111.
